Printable · GCSE Higher · ages 14-16
Number worksheet — GCSE Higher
Fifteen questions across the number statements at Higher tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
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Number worksheet — GCSE Higher
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- 1.Work out 3³ + 2⁴.
- 2.Work out (−6) + (−4) × 3
- 3.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.
- 4.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.
- 5.A garden path is measured by Jon as 12 m, correct to the nearest metre, and by Mia as 12.6 m, correct to the nearest 0.1 m. Which statement about the two measurements is correct?
- 6.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.
- 7.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.
- 8.Work out √25 + 4² − 12 ÷ 3
- 9.Write down the exact decimal value of the fraction 1/6.
- 10.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.
- 11.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.
- 12.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.
- 13.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.
- 14.Write 60 as a product of its prime factors, using index notation.
- 15.A square tile has an area of 72 cm². Work out the exact perimeter of the tile, giving your answer in the form k√2 cm.
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